On the p-adic analogue of the Newton-Raphson method for finding the zero of a polynomial

Hensel's Lemma is a very powerful tool in determining the existence of a root of polynomials contained in zp(x). It is just the p-adic analog of the Newton-Raphson root-finding algorithm from Numerical Analysis. In this thesis we extend the Hensel's Lemma to a bigger class of polynomials o...

Ausführliche Beschreibung

Bibliographische Detailangaben

1. Verfasser:	Aban, Janus C. (VerfasserIn)
Weitere Verfasser:	Basilla, Julius M. (thesis adviser.)
Resource Type:	Abschlussarbeit
Sprache:	English
Veröffentlicht:	Quezon City Institute of Mathematics, College of Science, University of the Philippines Diliman 2015.
Schlagworte:	Newton-Raphson method. Algebra. Analogy (Mathematics).